calculate a 90% CI for the average GPA of college students from a sample of 49 students with a mean GPA of 2.7 and a standard deviation of 0.1 1) What is the standard error? 2) What is the criticla z or t score ? 3) What is 90% CI?

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calculate a 90% CI for the average GPA of college students from a sample of 49 students with a mean GPA of 2.7 and a standard deviation of 0.1

1) What is the standard error?
2) What is the criticla z or t score ?
3) What is 90% CI?
4) If it is known the population SD of students' GPA is 0.2, what is the 90% CI?

Expert Solution
Introduction

{NOTE : As per the rules, only the first 3 subparts are solved. ]

Given that, 

n=49x¯=2.7s=0.1

Standard Error =sn

The confidence level of population mean μ at level α, when the sample mean and sample standard deviation is given , is :

x¯-zα2×snμx¯+zα2×sn

 

 

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